Question

A and b are partners sharing profits of 5:3 c is admitted for 3/10th share of profit

Answer 1

old ratio of A & B =5:3

C's share =3/10

half of C's share to be gifted by A = 3/10 X 1/2 = 3/20

remaining half share will be given by A & B equally

remaining share =3/20

half of remaining share = 3/20 X 1/2 = 3/40

so both A&B will give 3/40th share to C.

now, total share that will be given by A = 3/20 + 3/40 = 9/40

total share that will be given by B = 3/40

A's new share = 5/8 9/40 = 16/40

B's new share = 3/8 3/40 = 12/40

C's share = 3/10 X 4/4 = 12/40

therefore, New Profit sharing ratio = 16:16:12 OR 4:4:3

Sacrificing Ratio = Take-over ratio i.e., 9:3 OR 3:1